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A survey of quantum Lyapunov control methods
1Department of Automation, University of Science and Technology of China, Hefei 230027, China. scong@ustc.edu.cn
Thescientificworldjournal
|June 15, 2013
Summary
Quantum Lyapunov control ensures convergence, not just stability, in closed quantum systems. This study analyzes control methods for diverse target states across different quantum system cases.
Area of Science:
- Quantum Control Theory
- Quantum Systems Engineering
Background:
- Quantum Lyapunov control is crucial for achieving desired states in closed quantum systems.
- Ensuring convergence, beyond mere stability, is a key challenge in quantum control.
Purpose of the Study:
- To analyze quantum Lyapunov control methods for closed quantum systems.
- To investigate convergence to various target states under different system conditions.
Main Methods:
- Classification of quantum systems into nondegenerate and degenerate cases.
- Categorization of target states into eigenstates, commuting mixed states, superposition states, and non-commuting mixed states.
- Summarization and analysis of quantum Lyapunov control strategies for each category.
Main Results:
- Detailed analysis of control methods for four distinct target state categories.
- Review of system convergence towards specified target states.
- Identification of strategies to fulfill convergence conditions.
Conclusions:
- Quantum Lyapunov control effectively drives closed quantum systems to convergence.
- The study provides a comprehensive framework for applying quantum Lyapunov control to diverse target states and system types.
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